Abstract
We study a subclass of pomdps, called quasi-deterministic pomdps (qDet- pomdps), characterized by deterministic actions and stochastic observations. While this framework does not model the same general problems as pomdps, they still capture a number of interesting and challenging problems and, in some cases, have interesting properties. By studying the observability available in this subclass, we show that qDet- pomdps may fall many steps in the complexity classes of polynomial hierarchy.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Nau, D., Ghallab, M., Traverso, P.: Automated Planning: Theory & Practice. Morgan Kaufmann Publishers Inc., San Francisco (2004)
Kaelbling, L.P., Littman, M.L., Cassandra, A.R.: Planning and Acting in Partially Observable Stochastic Domains. Artif. Intell. 101(1-2), 99–134 (1998)
Palacios, H., Geffner, H.: From Conformant into Classical Planning: Efficient Translations that May Be Complete Too. In: Proc. of the 17th Int. Conf. on Automated Planning and Scheduling, pp. 264–271 (2007)
Amir, E., Chang, A.: Learning Partially Observable Deterministic Action Models. J. Artif. Intell. Res. 33, 349–402 (2008)
Littman, M.: Algorithms for Sequential Decision Making. PhD thesis, Department of Computer Science, Brown University (1996)
Bonnet, B.: Deterministic POMDPs Revisited. In: Proc. of Uncertainty in Artificial Intelligence (2009)
Pattipati, K., Alexandridis, M.: Application of Heuristic Search and Info. Theo. to Sequential fault Diagnosis. IEEE Trans. on Syst., Man and Cyb. 20(4), 872–887 (1990)
Ji, S., Parr, R., Carin, L.: Nonmyopic multiaspect sensing with partially observable markov decision processes. IEEE Transactions on Signal Processing 55(6), 2720–2730 (2007)
Goldman, R.P., Boddy, M.S.: Expressive planning and explicit knowledge. In: Proc. of the 3rd Inter. Conf. on Artif. Intel. Planning Systems, pp. 110–117 (1996)
Sondik, E.J.: The optimal control of Partially Observable Markov Processes. PhD thesis, Stanford University (1971)
Papadimitriou, C., Tsisiklis, J.: The Complexity of Markov Decision Processes. Math. Oper. Res. 12(3), 441–450 (1987)
Stockmeyer, L.J.: The Polynomial-Time Hierarchy. Theor. Comput. Sci. 3(1), 1–22 (1976)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Besse, C., Chaib-draa, B. (2009). Quasi-Deterministic Partially Observable Markov Decision Processes. In: Leung, C.S., Lee, M., Chan, J.H. (eds) Neural Information Processing. ICONIP 2009. Lecture Notes in Computer Science, vol 5863. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10677-4_27
Download citation
DOI: https://doi.org/10.1007/978-3-642-10677-4_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-10676-7
Online ISBN: 978-3-642-10677-4
eBook Packages: Computer ScienceComputer Science (R0)